采用全量子理论和数值计算方法,研究了初始处于相干态的双模腔场与一个V型三能级原子共振相互作用的量子统计性质,讨论了在没有对原子进行态选择性测量、直接对原子进行态选择性测量和应用经典微波场并对原子进行态选择性测量的三种情况下,腔模平均光子数、耦合系数及相互作用时间对亚泊松统计、模间相干性、光子聚束反聚束效应和违背Cauchy-Schwarz不等式的影响。结果表明:对原子进行态选择性测量后,亚泊松统计特性明显地增强、模间反相关性明显地减弱、Cauchy-Schwarz不等式总是被违背;两个腔模平均光子数差比较大时,对原子进行态选择性测量后,a模腔场总是呈现反聚束效应。

Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom; (2) direct state-selective measurement on the atom; (3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened ,and the Cauchy-Schwarz inequality is always violated; the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.